English

On the Equivalence of Three Complete Cyclic Systems of Integers

Number Theory 2023-05-09 v2

Abstract

The system of coaches by Hilton and Pedersen, the system of cyclic sequences of Schick, and Braendli-Bayne, related to diagonals in regular (2 n)-gons, and the system of modified modular doubling sequences elaborated in this paper are proved to be equivalent. The latter system employs the modified modular equivalence used by Braendli-Bayne. A sequence of Euler tours related on Schick's cycles of diagonals is also presented.

Keywords

Cite

@article{arxiv.2008.04300,
  title  = {On the Equivalence of Three Complete Cyclic Systems of Integers},
  author = {Wolfdieter Lang},
  journal= {arXiv preprint arXiv:2008.04300},
  year   = {2023}
}

Comments

25 pages with 5 figures and 2 tables